Given numbers are 498,540,678,750

The least common multiple of numbers can be find using the prime factorization method or LCM formula.

The LCM of 498,540,678,750 is 126616500.

Find LCM of 498,540,678,750 with Prime Factorization

Multiply the prime numbers at the bottom and the left side.

2 x 3 x 5 x 83 x 18 x 113 x 25 = 126616500

Therefore, the lowest common multiple of 498,540,678,750 is 126616500.

LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

Firstly, we have to find the product of all the numbers.

498 x 540 x 678 x 750 = 136745820000

Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.

498 : 1, 2, 3, 6, 83, 166, 249, 498

540 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540

678 : 1, 2, 3, 6, 113, 226, 339, 678

750 : 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375, 750

6 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 498,540,678,750, is 6.

Now, the common factors can be found like this.

498:2x 3x 83

540:2x 2x 3x 3x 3x 5

678:2x 3x 113

750:2x 3x 5x 5x 5

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 2x 3x 3x 5 = 180

Therefore, the value for common factors is 180.

Now that we have all the elements of the formula, we can plug them in to calculate the LCM.

LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

LCM = 136745820000/(6x180)

LCM = 136745820000/1080

LCM = 126616500

Thus, we can understand that the LCM of 498,540,678,750 is 126616500.

Here are some samples of LCM of two or more Numbers calculations.

• LCM of 617, 311, 380, 154
• LCM of 503, 932, 989, 860
• LCM of 835, 848, 374, 951
• LCM of 238, 992, 877, 429
• LCM of 286, 227, 619, 310

1. What is the LCM of 498, 540, 678, 750?

Answer: LCM of 498, 540, 678, 750 is 126616500.

2. How to calculate the LCM of 498, 540, 678, 750?

The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 498, 540, 678, 750.

3. What is the LCM formula?

The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.